A counterexample to the odd-dimensional rank bound for abelian pp-group actions

Abstract

We disprove the odd-dimensional extension, conjectured by Moraga and recorded by Kollár and Zhuang, of the rank bound for faithful abelian p-group actions on smooth Calabi--Yau varieties. The main result of this paper was obtained by ChatGPT 5.5 pro, and the Danus system based on the Rethlas system.

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